I don't really understand this sentence "grammatically":

Friends, who have been brought up on a diet of Hollywood movies where couples go off starry-eyed into the sunset, are still suspicious. "But how can you stand to marry someone you don't love?" they say.
About "go off starry-eyed in to the sunset" is it:

(a) go off into the sunset+(starry-eyed)=> a participle "starry eyed" to modify "go off into..."


(b) go off +(starry-eyed into the sunset)=> a participle "starry eyed into..." to modify "go off"

Does "starry-eyed" really tell us how the "going off into the sunset" occurred? Can one "leave in a starry-eyed manner"? Is "starry-eyed" really an adverb?

How does this differ from "... where couples, starry-eyed, go off into the sunset" or "... where starry-eyed couples go off into the sunset"?

Does its position in the sentence scare us off from calling "starry-eyed" an adjective? And wouldn't the "real adverb" be "starry-eyedly"!? Emotion: smile
It's ( a ), Taka. Commas could be added before and after 'starry-eyed', but would make the sentence cluttered. And I think 'into' is one word.
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 CalifJim's reply was promoted to an answer.
Thank you, teachers.